What is the exact solution to the equation 2^x+2 =5^2x ? a) −2ln2/2ln5−ln2 b) −ln2/2ln5+ln2 c) ln2/2ln5+ln2 d) 2ln2/2ln5−ln2

We want to get the exact solution for the equation:

The correct option is D, the solution is:

Here we must use the property:

So we can apply the natural logarithm to both sides of our equation to get:

Now we can solve this for x.

So the correct option is D.

If you want to learn more, you can read:

link

D

Step-by-step explanation:

          2ˣ⁺² = 5²ˣ

      ln 2ˣ⁺² = ln 5²ˣ               apply ln to both sides

(x + 2) ln 2 = 2x ln 5            apply exponent to coefficient log rule

x ln 2 + 2 ln 2 = 2x ln 5       distribute (x + 2) on left side

2 ln 2 = 2x ln 5 - x ln 2        subtract (x ln 2) from both sides

2 ln 2 = x(2 ln 5 - ln 2)         factor out (x) from right side

= x                             divide both sides by (2 ln 5 - ln 2)

the answer is 28

step-by-step explanation:

steve should create a type of business report called a business plan. the correct option among the options that are already given in the question is the last or the fourth option. this business report created by steve will actually influence the investors about investing their money in steve's business. this business report will have all the details about the business, the amount of investment required and the amount of expected profit.